I'm in the EU and you absolutely can put a French building on a banknote. I'd much rather look at the Eiffel tower or the Tower of Pisa or Neuschwanstein castle than the European Court of Auditors.
Or if you like to have something modern, Paimio Sanatorium or Turning Torso.
Or if you like to have something modern, Paimio Sanatorium or Turning Torso.